(Cr)easy
2012 - Mathematics B-day
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Task

(Cr)easy

The structure of this year’s Mathematics B-day is very straightforward: the topic is repeatedly folding in two strips of paper in a prescribed manner. Sharp folds will result in an interesting geometrical figure, that consists of straight parts that bend at a right angle on every folding line.
The folding recipe is simple, but it turns out that it gives rise to patterns that quickly end up looking rather complex. You are going to study these patterns this day.
The goal of this assignment is that you can explain the patterns and even (without folding them for real) predict them. Not just for the patterns that you yourself constructed, but also for the patterns that you might get after folding for instance 10 times. And you really can’t do those with a strip of paper! Dutch version
Background information

Mathematics B-day
During the Dutch Mathematics Day Contest students work in teams of about 3 to 4 members on an open mathematical problem solving task during a couple of hours. The product of this work is a report (and sometimes a presentation).
Using your skills in a new setting
The task gives the students the opportunity to show what they have learned from mathematics and how they can use the knowledge and skills in a new situation.



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